426250400 has 72 divisors (see below), whose sum is σ = 1064869344. Its totient is φ = 166521600.

The previous prime is 426250399. The next prime is 426250441. The reversal of 426250400 is 4052624.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28205 + ... + 40595.

It is an arithmetic number, because the mean of its divisors is an integer number (14789852).

Almost surely, 2^426250400 is an apocalyptic number.

426250400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532434672).

426250400 is an abundant number, since it is smaller than the sum of its proper divisors (638618944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426250400 is a wasteful number, since it uses less digits than its factorization.

426250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12454 (or 12441 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 426250400 is about 20645.8325092499. The cubic root of 426250400 is about 752.5839172353.

The spelling of 426250400 in words is "four hundred twenty-six million, two hundred fifty thousand, four hundred".